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Finding the Fourth Proportional to 2,948.54, 4,067.62 and 1,900.94

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Solution

The fourth proportional to 2,948.54, 4,067.62 and 1,900.94 is: 2,622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.54 : 4,067.62 = 1,900.94 : x
  2. Step 2: Convert to fraction form
    2,948.54/4,067.62 = 1,900.94/x
  3. Step 3: Cross multiply
    2,948.54x = 4,067.62 × 1,900.94
  4. Step 4: Simplify right side
    2,948.54x = 7,732,276.47
  5. Step 5: Solve for x
    x = 7,732,276.47/2,948.54
  6. Step 6: Final answer
    x = 2,622.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.